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Finding the Third Proportional to 2,625.75 and 4,475.25

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Solution

The third proportional to 2,625.75 and 4,475.25 is: 7,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.75 : 4,475.25 = 4,475.25 : x
  2. Step 2: Convert to fraction form
    2,625.75/4,475.25 = 4,475.25/x
  3. Step 3: Cross multiply
    2,625.75x = 4,475.25 × 4,475.25
  4. Step 4: Simplify right side
    2,625.75x = 20,027,862.56
  5. Step 5: Solve for x
    x = 20,027,862.56/2,625.75
  6. Step 6: Final answer
    x = 7,627.48

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.